Title
Noise in Integrate-and-Fire Neurons: From Stochastic Input to Escape Rates
Abstract
We analyze the effect of noise in integrate-and-fire neurons driven by time-dependent input and compare the diffusion approximation for the membrane potential to escape noise. It is shown that for time-dependent subthreshold input, diffusive noise can be replaced by escape noise with a hazard function that has a gaussian dependence on the distance between the (noise-free) membrane voltage and threshold. The approximation is improved if we add to the hazard function a probability current proportional to the derivative of the voltage. Stochastic resonance in response to periodic input occurs in both noise models and exhibits similar characteristics.
Year
DOI
Venue
2000
10.1162/089976600300015835
Neural Computation
Keywords
DocType
Volume
ion channel,stochastic resonance,hazard function,degree of freedom,membrane potential,point process,diffusion approximation,neuronal activity
Journal
12
Issue
ISSN
Citations 
2
0899-7667
48
PageRank 
References 
Authors
12.32
6
2
Name
Order
Citations
PageRank
Hans E Plesser113320.47
Wulfram Gerstner22437410.08